Use the formula to determine the surface area of a right rectangular prism where each edge length measures 12.75 cm.(1 point)
Responses
76.5 cm2
76.5 cm squared
5,852.25 cm2
5,852.25 cm squared
975.38 cm2
975.38 cm squared
459 cm2
To determine the surface area of a right rectangular prism, you need to calculate the area of each of its six faces and sum them up.
The formula to calculate the surface area of a right rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l = length, w = width, and h = height.
Since each edge length measures 12.75 cm, it means the length, width, and height of the prism are all 12.75 cm.
Surface Area = 2(12.75)(12.75) + 2(12.75)(12.75) + 2(12.75)(12.75)
Surface Area = 2(162.5625) + 2(162.5625) + 2(162.5625)
Surface Area = 325.125 + 325.125 + 325.125
Surface Area = 975.375 cm²
Therefore, the surface area of the right rectangular prism is 975.375 cm², which can also be written as 975.375 cm squared. So the correct answer is:
975.38 cm2
975.38 cm squared